Let \( f \) be any function defined on \( R \) and let it satisfy \...

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Let \( f \) be any function defined on \( R \) and let it satisfy
\( \mathrm{P} \) the condition: \( |f(x)-f(y)| \leq\left|(x-y)^{2}\right|, \forall(x, y) \in R \)

W if \( f(0)=1 \), then:
(A) \( f(x)0, \forall x \in R \)
(B) \( f(x) \) can take any value in \( R \)
(C) \( f(x)=0, \forall x \in R \)
(D) \( f(x)0, \forall x \in R \)
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